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Finding the Third Proportional to 4,142.25 and 8,798.63

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Solution

The third proportional to 4,142.25 and 8,798.63 is: 18,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.25 : 8,798.63 = 8,798.63 : x
  2. Step 2: Convert to fraction form
    4,142.25/8,798.63 = 8,798.63/x
  3. Step 3: Cross multiply
    4,142.25x = 8,798.63 × 8,798.63
  4. Step 4: Simplify right side
    4,142.25x = 77,415,801.89
  5. Step 5: Solve for x
    x = 77,415,801.89/4,142.25
  6. Step 6: Final answer
    x = 18,689.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.